To check your bedding on a bolt-action, remove all stock screws, then raise the barrel about 1/8" to 1/4" and wiggle it side to side. If you can move it around easily, bedding may not be adequate.

Short of bedding, the excess space can be taken up temporarily by layering electrical tape along the sides of the action to tighten the wood to metal fit. It won't take the place of good bedding, but might improve accuracy sufficiently, so you can determine that glassbedding and/or pillar bedding is needed.